A $20-$year$-$old student wants to save $$5$ a day for her retirement. Every day, she places $$5$ in a drawer. At the end of EACH year, she invests the accumulated savings in an automated account with an expected annual return of $11\%,$ paid annually.

A$)$ If she begins saving today; How much money will she have when she is $65?(2$ points$)$

B$)$ If she did not start saving until she was $45$ years old, how much would she have at $65?(2$ points$)$

C$)$ How much must the $45-$year$-$old place in her desk daily to catch the $20-$year old? $(2$ points$)$ Assume annual deposits & interest payments.